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      SUBJECT: MATHEMATICS
                      CLASS : VII                   
               SECTION – A (MCQ)                              (½x8=4) 
1. Place value of 3 in decimal number 94.134 is 
a) Ones b) Hundredths c) Tenths d) Tens
2. (-5) + (-7) = _____
a) +35 b) -12 c) +12 d) -35
3. If 5
4
?
P
, then P = ?
a) 9 b) 20 c) 30 d) 10
4. Line segment has _____ end points
a) 1 b) 2 c) 3 d) 0
5. The perpendicular line segment from a vertex of a triangle to its opposite side is called _____ of the triangle. 
a) median b) base c) altitude d) length
6. The symbol for congruency is _____
a) ?
~
b) ~ c) = d) ?
7. When the sum of the measure of two angles is _____, the angles are called complementary angles.
a) 90
0
b) 180
0
c) 0
0
d) 120
0
8. When 3 letters are used to name the angle, the letter showing the vertex is always written _____.
a) at first b) in the middle c) at the end d) none of the above
                     SECTION – B                                            (1x6=6) 
9. Verify b a b a ? ? ? ? ) ( for following values of a and a=10, b=8.
10. Find :  
7
1
5
2
?
.
11. Find mean of the first five natural numbers.
12. Munna thinks of a number- If he takes away 7 from 
2
5
of the number, the result is 23.
13. In the following figure, is ? 1 adjacent to ? 2, give reasons.
1
2
Page 2


              
      SUBJECT: MATHEMATICS
                      CLASS : VII                   
               SECTION – A (MCQ)                              (½x8=4) 
1. Place value of 3 in decimal number 94.134 is 
a) Ones b) Hundredths c) Tenths d) Tens
2. (-5) + (-7) = _____
a) +35 b) -12 c) +12 d) -35
3. If 5
4
?
P
, then P = ?
a) 9 b) 20 c) 30 d) 10
4. Line segment has _____ end points
a) 1 b) 2 c) 3 d) 0
5. The perpendicular line segment from a vertex of a triangle to its opposite side is called _____ of the triangle. 
a) median b) base c) altitude d) length
6. The symbol for congruency is _____
a) ?
~
b) ~ c) = d) ?
7. When the sum of the measure of two angles is _____, the angles are called complementary angles.
a) 90
0
b) 180
0
c) 0
0
d) 120
0
8. When 3 letters are used to name the angle, the letter showing the vertex is always written _____.
a) at first b) in the middle c) at the end d) none of the above
                     SECTION – B                                            (1x6=6) 
9. Verify b a b a ? ? ? ? ) ( for following values of a and a=10, b=8.
10. Find :  
7
1
5
2
?
.
11. Find mean of the first five natural numbers.
12. Munna thinks of a number- If he takes away 7 from 
2
5
of the number, the result is 23.
13. In the following figure, is ? 1 adjacent to ? 2, give reasons.
1
2
14. Find the value of the unknown x .
               
                  
SECTION – C            (2x10=20)
15. Find the product using suitable rearrangement ) 10 ( ) 4 ( ) 25 ( 35 ? ? ? ? ? ?
.
16. Find-   a) ) 30 ( ) 21 ( ? ? ? b)   ] 1 ) 2 [( 13 ? ? ?
17. How much less is 16km from 38.35km?
18. Find the mode and median of the data.
13, 16, 12, 14, 19, 12, 14, 13, 14
19. Solve (by trial and error method)   : 17 2 3 ? ? x
20. a)    18 ) 3 ( 4 ? ? m b)   36 8 ? y
21. Indicate which pairs of angles are :
(i) Vertically opposite angles 
(ii) Linear pairs
22. Find the values of unknown x and y in the following figure.
23. If BCA DEF ? ? ?
~
write the part(s) of BCA ? that correspond to.
i. ? E = ____ ii) ? F = ____  iii) F E = ____    iv) F D =  ____
24. Given that   , 50 60 ,
~
0 0
? ? ? ? ? ? ? B and A RPQ ABC Find Q P ? ? ,
   
and R ? .
                             SECTION – D                                            (3x10=30) 
25. In a class test containing 15 question 4 marks are awarded for every correct answer and (-2) marks are awarded 
      for every incorrect answer and no marks for not attempted.
a) Gurpreet attempts all questions but only 9 of her answers are correct. What is her total score?
b) Sita gets five correct answers and ten incorrect answers. What is her score?
R
P Q
30
0
X
1
5
4
3
2
120
0
x
50
0 y
Page 3


              
      SUBJECT: MATHEMATICS
                      CLASS : VII                   
               SECTION – A (MCQ)                              (½x8=4) 
1. Place value of 3 in decimal number 94.134 is 
a) Ones b) Hundredths c) Tenths d) Tens
2. (-5) + (-7) = _____
a) +35 b) -12 c) +12 d) -35
3. If 5
4
?
P
, then P = ?
a) 9 b) 20 c) 30 d) 10
4. Line segment has _____ end points
a) 1 b) 2 c) 3 d) 0
5. The perpendicular line segment from a vertex of a triangle to its opposite side is called _____ of the triangle. 
a) median b) base c) altitude d) length
6. The symbol for congruency is _____
a) ?
~
b) ~ c) = d) ?
7. When the sum of the measure of two angles is _____, the angles are called complementary angles.
a) 90
0
b) 180
0
c) 0
0
d) 120
0
8. When 3 letters are used to name the angle, the letter showing the vertex is always written _____.
a) at first b) in the middle c) at the end d) none of the above
                     SECTION – B                                            (1x6=6) 
9. Verify b a b a ? ? ? ? ) ( for following values of a and a=10, b=8.
10. Find :  
7
1
5
2
?
.
11. Find mean of the first five natural numbers.
12. Munna thinks of a number- If he takes away 7 from 
2
5
of the number, the result is 23.
13. In the following figure, is ? 1 adjacent to ? 2, give reasons.
1
2
14. Find the value of the unknown x .
               
                  
SECTION – C            (2x10=20)
15. Find the product using suitable rearrangement ) 10 ( ) 4 ( ) 25 ( 35 ? ? ? ? ? ?
.
16. Find-   a) ) 30 ( ) 21 ( ? ? ? b)   ] 1 ) 2 [( 13 ? ? ?
17. How much less is 16km from 38.35km?
18. Find the mode and median of the data.
13, 16, 12, 14, 19, 12, 14, 13, 14
19. Solve (by trial and error method)   : 17 2 3 ? ? x
20. a)    18 ) 3 ( 4 ? ? m b)   36 8 ? y
21. Indicate which pairs of angles are :
(i) Vertically opposite angles 
(ii) Linear pairs
22. Find the values of unknown x and y in the following figure.
23. If BCA DEF ? ? ?
~
write the part(s) of BCA ? that correspond to.
i. ? E = ____ ii) ? F = ____  iii) F E = ____    iv) F D =  ____
24. Given that   , 50 60 ,
~
0 0
? ? ? ? ? ? ? B and A RPQ ABC Find Q P ? ? ,
   
and R ? .
                             SECTION – D                                            (3x10=30) 
25. In a class test containing 15 question 4 marks are awarded for every correct answer and (-2) marks are awarded 
      for every incorrect answer and no marks for not attempted.
a) Gurpreet attempts all questions but only 9 of her answers are correct. What is her total score?
b) Sita gets five correct answers and ten incorrect answers. What is her score?
R
P Q
30
0
X
1
5
4
3
2
120
0
x
50
0 y
26 . a) 
7
2
1
5
1
3 ? b) 
5
3
7
4
3 ?
27.
4
3
12 liters of milk was poured equally into 7 small containers. How much milk will be there in each  containers?
28. The ages in years of 10 teachers of a school are 32, 41, 28, 54, 35, 26, 23, 33, 38, 40
i. What is the age of the oldest teacher and that of the youngest teacher.
ii. What is the range of the ages of the teachers.
iii. What is the mean age of these teacher and what is the importance of teachers in your life.
29. Raju’s fathers age is 5 years more than three times Raju’s age. Find Raju’s age, if his father is 44 years old.
OR
Irfan scored twice as many runs as Rajat. Together, their runs fell two short of a double century. How many  
       runs did each one score?
30. In figure l ll m and‘t’ is a transversal. Find the values of angles x,y,z and write reasons.
OR
In the figure, lines l and m are intersected by transversal n, find
i. Alternate angles to angles 3 and 4
ii. Corresponding angles to angles 6 and 8
iii. Pair of interior angles on the same side of transversal 
31. ABC ? is right-angled at C. If , 5cm AC ? . 12cm BC ? Find the length of . AB
32. Am is a median of a triangle . ABC
  
Is AM CA BC AB 2 ? ? ? (Explain why)
OR
A tree is broken at a height of 5m from the ground and its top touches the ground at a distance of 12m from the 
       base of the tree. Find the original height of the tree.
33. Maximum and minimum temperatures on a day at 5 different places in India are given below. Show them on the 
     bar graph.
City Delhi Chennai Amritsar Kolkata Mumbai
Max temp in 
0
C 33 33 31 30 29
Min temp in 
0
C 25 28 25 20 22
m
l
120
0
z
y
x
8
7
6
5
4 3
2
1
Page 4


              
      SUBJECT: MATHEMATICS
                      CLASS : VII                   
               SECTION – A (MCQ)                              (½x8=4) 
1. Place value of 3 in decimal number 94.134 is 
a) Ones b) Hundredths c) Tenths d) Tens
2. (-5) + (-7) = _____
a) +35 b) -12 c) +12 d) -35
3. If 5
4
?
P
, then P = ?
a) 9 b) 20 c) 30 d) 10
4. Line segment has _____ end points
a) 1 b) 2 c) 3 d) 0
5. The perpendicular line segment from a vertex of a triangle to its opposite side is called _____ of the triangle. 
a) median b) base c) altitude d) length
6. The symbol for congruency is _____
a) ?
~
b) ~ c) = d) ?
7. When the sum of the measure of two angles is _____, the angles are called complementary angles.
a) 90
0
b) 180
0
c) 0
0
d) 120
0
8. When 3 letters are used to name the angle, the letter showing the vertex is always written _____.
a) at first b) in the middle c) at the end d) none of the above
                     SECTION – B                                            (1x6=6) 
9. Verify b a b a ? ? ? ? ) ( for following values of a and a=10, b=8.
10. Find :  
7
1
5
2
?
.
11. Find mean of the first five natural numbers.
12. Munna thinks of a number- If he takes away 7 from 
2
5
of the number, the result is 23.
13. In the following figure, is ? 1 adjacent to ? 2, give reasons.
1
2
14. Find the value of the unknown x .
               
                  
SECTION – C            (2x10=20)
15. Find the product using suitable rearrangement ) 10 ( ) 4 ( ) 25 ( 35 ? ? ? ? ? ?
.
16. Find-   a) ) 30 ( ) 21 ( ? ? ? b)   ] 1 ) 2 [( 13 ? ? ?
17. How much less is 16km from 38.35km?
18. Find the mode and median of the data.
13, 16, 12, 14, 19, 12, 14, 13, 14
19. Solve (by trial and error method)   : 17 2 3 ? ? x
20. a)    18 ) 3 ( 4 ? ? m b)   36 8 ? y
21. Indicate which pairs of angles are :
(i) Vertically opposite angles 
(ii) Linear pairs
22. Find the values of unknown x and y in the following figure.
23. If BCA DEF ? ? ?
~
write the part(s) of BCA ? that correspond to.
i. ? E = ____ ii) ? F = ____  iii) F E = ____    iv) F D =  ____
24. Given that   , 50 60 ,
~
0 0
? ? ? ? ? ? ? B and A RPQ ABC Find Q P ? ? ,
   
and R ? .
                             SECTION – D                                            (3x10=30) 
25. In a class test containing 15 question 4 marks are awarded for every correct answer and (-2) marks are awarded 
      for every incorrect answer and no marks for not attempted.
a) Gurpreet attempts all questions but only 9 of her answers are correct. What is her total score?
b) Sita gets five correct answers and ten incorrect answers. What is her score?
R
P Q
30
0
X
1
5
4
3
2
120
0
x
50
0 y
26 . a) 
7
2
1
5
1
3 ? b) 
5
3
7
4
3 ?
27.
4
3
12 liters of milk was poured equally into 7 small containers. How much milk will be there in each  containers?
28. The ages in years of 10 teachers of a school are 32, 41, 28, 54, 35, 26, 23, 33, 38, 40
i. What is the age of the oldest teacher and that of the youngest teacher.
ii. What is the range of the ages of the teachers.
iii. What is the mean age of these teacher and what is the importance of teachers in your life.
29. Raju’s fathers age is 5 years more than three times Raju’s age. Find Raju’s age, if his father is 44 years old.
OR
Irfan scored twice as many runs as Rajat. Together, their runs fell two short of a double century. How many  
       runs did each one score?
30. In figure l ll m and‘t’ is a transversal. Find the values of angles x,y,z and write reasons.
OR
In the figure, lines l and m are intersected by transversal n, find
i. Alternate angles to angles 3 and 4
ii. Corresponding angles to angles 6 and 8
iii. Pair of interior angles on the same side of transversal 
31. ABC ? is right-angled at C. If , 5cm AC ? . 12cm BC ? Find the length of . AB
32. Am is a median of a triangle . ABC
  
Is AM CA BC AB 2 ? ? ? (Explain why)
OR
A tree is broken at a height of 5m from the ground and its top touches the ground at a distance of 12m from the 
       base of the tree. Find the original height of the tree.
33. Maximum and minimum temperatures on a day at 5 different places in India are given below. Show them on the 
     bar graph.
City Delhi Chennai Amritsar Kolkata Mumbai
Max temp in 
0
C 33 33 31 30 29
Min temp in 
0
C 25 28 25 20 22
m
l
120
0
z
y
x
8
7
6
5
4 3
2
1
34. Are the 2 triangles congruent in the following figure. If yes, mention the congruence 
       conditions and write the  congruence of 2 triangles in symbolic form.
35
0
5.3cm
5.3cm
3.5cm
3.5cm
B
A
O
D
C
35
0
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FAQs on Class 7 Math: Sample Question Paper – 10 - Sample Papers For Class 7

1. What is the format of the Class 7 Math Sample Question Paper?
Ans. The Class 7 Math Sample Question Paper typically consists of multiple-choice questions, short answer questions, and long answer questions. It is designed to assess the students' understanding of various mathematical concepts taught in class 7.
2. How many questions are usually included in the Class 7 Math Sample Question Paper?
Ans. The number of questions in the Class 7 Math Sample Question Paper may vary, but it usually includes around 25 to 30 questions. This ensures that students have a comprehensive assessment of their knowledge and skills in mathematics.
3. What topics are covered in the Class 7 Math Sample Question Paper?
Ans. The Class 7 Math Sample Question Paper covers a wide range of topics, including integers, fractions and decimals, algebraic expressions, geometry, data handling, and more. It aims to evaluate the students' understanding and application of these mathematical concepts.
4. How can I prepare for the Class 7 Math Sample Question Paper?
Ans. To prepare for the Class 7 Math Sample Question Paper, it is important to thoroughly study the textbook and practice solving various types of math problems. Additionally, you can refer to sample question papers, previous year question papers, and online resources for additional practice and understanding.
5. Are the questions in the Class 7 Math Sample Question Paper similar to the questions in the actual exam?
Ans. The questions in the Class 7 Math Sample Question Paper are designed to be similar to the questions in the actual exam. However, the actual exam may have a different set of questions. It is important to use the sample question paper as a guide to understand the format and types of questions that may be asked in the exam.
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